Seminar talk, 9 February 2011: Difference between revisions

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{{Talk
{{Talk
| speaker = Maxim Pavlov
| speaker = Alexei Penskoi
| title = Relationships between <math>2+1</math> dimensional quasilinear equations of the first order, kinetic equations and hydrodynamic chains
| title = Extremal spectral properties of Lawson tau-surfaces and the Lamé equation
| abstract = We consider three kinetic equations of the Vlasov type (collisionless Boltzmann equations).  We present a canonical way to construct corresponding hydrodynamic chains.  These kinetic equations are nothing but coverings for associated 2+1 quasilinear equations of the first order, which can be obtained directly from aforementioned hydrodynamic chains.
| abstract = Study of extremal Riemannian metric for eigenvalue of the Laplace-Beltrami operator is a difficult task of differential geometry, in which there have been very significant advances in 2000s.


Target of the talk is to discuss a generalization of these results on more complicated dispersive and nonlocal integrable systems.
The talk will discuss a few previously known facts and recently obtained by the speaker results on extremal spectral properties of Lawson tori and Klein bottles and their relation to the Lamé equation.
 
This talk will be accessible to non-specialists.
| slides =  
| slides =  
| references =  
| references =  
| 79YY-MM-DD = 7988-97-90
| 79YY-MM-DD = 7988-97-90
}}
}}

Latest revision as of 14:18, 18 January 2011

Speaker: Alexei Penskoi

Title: Extremal spectral properties of Lawson tau-surfaces and the Lamé equation

Abstract:
Study of extremal Riemannian metric for eigenvalue of the Laplace-Beltrami operator is a difficult task of differential geometry, in which there have been very significant advances in 2000s.

The talk will discuss a few previously known facts and recently obtained by the speaker results on extremal spectral properties of Lawson tori and Klein bottles and their relation to the Lamé equation.

This talk will be accessible to non-specialists.

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